Remarks on Manifolds with Two-Sided Curvature Bounds

被引：7
|
作者：
Kapovitch, Vitali [1 ]
Lytchak, Alexander [2 ]
机构：
[1] Univ Toronto, Toronto, ON, Canada
[2] Univ Cologne, Math Inst, Cologne, Germany
来源：
ANALYSIS AND GEOMETRY IN METRIC SPACES | 2021年 / 9卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Distance functions; cut locus; subsets of positive reach; harmonic coordinates; Alexandrov spaces; REGULARITY; SETS;
D O I：
10.1515/agms-2020-0122
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss folklore statements about distance functions in manifolds with two-sided bounded curvature. The topics include regularity, subsets of positive reach and the cut locus.
引用
收藏
页码：53 / 64
页数：12
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